Scissor Lift beam calculations

[Kingvilla]

I am trying to understand how calculate the forces in the beams or atleast how they relate to each other. There is a pin at the top right its just hidden as it is a wheel behind the rail. I am confused at the pin where the cylinder connects on how the load would be transferred to the lower parts of the beam. I originally thought (as shown in the picture) that the piston wouldn't make a difference in transfering the load along the beam but now I think it would. I am also trying to calculate the bearing stress in the pins and am not sure if I only include the piston load or the load from the beams as well. Also at pin C I feel like there would be little load because the piston would take most of it, is this correct?

 

[nvn]

Kingvilla: Is this a school assignment?

 

[Kingvilla]

No it's not but wasn't sure if I should have posted it HW section. I was thinking of designing a basic scissor lift for a project and just wanted clarification on how the forces acton the pins. But I believe I figured out how the forces react on the pins. For the pin where the piston is attached inbetween pin B and C I believe the force that the pin is experience is only from the piston. Then the forces acting on pin C I just sum the forces from the piston and reaction at pin B.

 

[nvn]

Kingvilla: If it is coursework-related, or if you are a student, then it would go in the homework forum. Are you a student?

For the pin where the piston is attached in between pin B and C, I believe the force that the pin is experience is only from the piston. Then the forces acting on pin C, I just sum the forces from the piston and reaction at pin B.

I am not saying, with certainty, this is incorrect, but it currently does not necessarily sound correct to me. You did not yet show any valid free-body diagrams, and you did not show your work. Therefore, we do not know if your answer is correct. Even though this structure is externally statically determinate, I am not sure, at this time, if it is internally statically determinate, because I did not investigate it. It might have some internal redundancy, but I am currently not sure.

 

[Kingvilla]

Yes I'm a student. Sorry, is there a way to move the post to the homework section? If not I will just repost it there.

 

[nvn]

Yes, you can have a thread moved. Just hit the Report button, and say something like: "I am a student. Please move this thread to the engineering homework forum. Thanks." And later, it might be moved.

 

[micromass]

Moved the thread to homework. Just hit the Report button next time you want something moved!

 

[nvn]

Kingvilla: I think this structure is probably internally statically determinate. But the analysis is complicated, and lengthy. You picked a tedious, challenging problem, if you are a beginner.

You generally do not just look at a structural network and say, "I think the force that the pin is experiencing is only from the piston." The way you find out is by structural analysis, piecemeal solving for all the unknowns, in each part. Once you solve for the unknowns, then you can compute the force on each pin. There are approximately twenty or more unknowns in this structure. This structure is not a truss. The hydraulic cylinder is the only axial member in this structure.

 

[AlephZero]

What makes this horrible to analyze, compared with a "normal" scissor truss, is that the piston breaks the symmetry of the model and the loads.

The simple-minded way to do this would be just write out a lot of equations in a lot of variables and solve them, but computers are much better at that than people.

You might be able to get a start on this by thinking about what happens if the piston extends a small amount. The pressure inside the piston is doing some work to extend the rod. and that is lifting the weight on the platform by a related distance (depending on the geometry of the system). I think that would give you the piston force without needing to find anything else. Then, you could find the reactions at the base, and possibly work through the structure one joint at a time...

 

[nvn]

I am also trying to calculate the bearing stress in the pins, and am not sure if I only include the piston load, or the load from the beams, as well.

You would include the load from the beams, also.

Also, at pin C, I feel like there would be little load, because the piston would take most of it. Is this correct?

The hydraulic cylinder would probably reduce the load in the lower structure, but I currently do not think we can claim it is little load on the lower structure, without performing some analysis.